English

A lowest-degree strictly conservative finite element scheme for incompressible Stokes problem on general triangulations

Numerical Analysis 2021-08-25 v1 Numerical Analysis

Abstract

In this paper, we propose a finite element pair for incompressible Stokes problem. The pair uses a slightly enriched piecewise linear polynomial space for velocity and piecewise constant space for pressure, and is illustrated to be a lowest-degree conservative stable pair for the Stokes problem on general triangulations.

Keywords

Cite

@article{arxiv.2108.10522,
  title  = {A lowest-degree strictly conservative finite element scheme for incompressible Stokes problem on general triangulations},
  author = {Wenjia Liu and Shuo Zhang},
  journal= {arXiv preprint arXiv:2108.10522},
  year   = {2021}
}